Answer:
Given equation: x + 2y = 7
Rearrange the given equation to make y the subject:
[tex]\sf x + 2y = 7[/tex]
[tex]\sf \implies 2y=7-x[/tex]
[tex]\sf \implies y = \dfrac12(7-x)[/tex]
Now input the given x-values into the equation to determine the y-values:
[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]
[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]
[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]
[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]
[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]
[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]
As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)
Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.
